# Greatest Common Factor of 38 and 57

Greatest common factor (GCF) of 38 and 57 is **19**.

GCF(38,57) = 19

We will now calculate the prime factors of **38 and 57**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 38 and 57.

## Prime Factorization of 38

Prime factors of 38 are 2, 19. Prime factorization of **38** in exponential form is:

38 = 2^{1} × 19^{1}

## Prime Factorization of 57

Prime factors of 57 are 3, 19. Prime factorization of **57** in exponential form is:

57 = 3^{1} × 19^{1}

### Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1, 2, 19

### Factors of 57

List of positive integer factors of 57 that divides 38 without a remainder.

1, 3, 19

### Greatest Common Factor

We found the factors and prime factorization of 38 and 57. The biggest common factor number is the **GCF** number.

So the **greatest common factor 38 and 57** is **19**.

Also check out the Least Common Multiple of 38 and 57

## Recent Comments

Find the HCF of the following numbers using prime factorization method of 38 and 57